Examples of using Partial differential equations in English and their translations into Arabic
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It was then that he became aware of the mysteries underlying the subject of non-linear partial differential equations.
For anyone interested in the analysis of partial differential equations, the work of Fritz John is especially rewarding.
Du Bois-Reymond's work is almost exclusively on calculus, in particular partial differential equations and functions of a real variable.
She described advances in geometry that have been achieved through the study of systems of nonlinear partial differential equations.
In mathematics he worked on partial differential equations, producing a classification which he presented to the Institut in 1814.
In the 1940s he developed the theory of quasi-conformal mappings which gave a new geometrical approach to partial differential equations.
He lectured on a wide range of topics, giving lectures on probability and also on the partial differential equations of physics.
The course covered, thoroughly but efficiently, most of the standard material from the theory of functions through partial differential equations.
In the early 1960s Valentina worked on fundamental solutions and stability for partial differential equations well-posed in the sense of Petrovskii.
He attended courses by Dirichlet on the theory of numbers, on potential theory, on definite integrals, and on partial differential equations.
In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.
His 1898 doctoral dissertation involved a study of partial differential equations, the study of which was motivated by an equilibrium problem in elasticity.
During this period he undertook research in several different areas of mathematics including algebraic equations, solving partial differential equations, and on negative numbers.
The first area of Lions work that is highlighted by both and is his work on"viscosity solutions" for nonlinear partial differential equations.
Published a number of profound papers in which he put forward a new method for the solution of an important class of partial differential equations.
Schauder's fixed point theorem and his skillful use of function space techniques to analyse elliptic and hyperbolic partial differential equations are contributions of lasting quality.
Some of his later papers examine numerical methods for factorising polynomials, for solving elliptic partial differential equations, and methods for treating singularities in boundary value problems.
We should note that Fox was undertaking numerical work solving partial differential equations which arose in engineering problems but which could not be solved by analytic techniques.
Over the next few years he submitted a series of important papers to the Académie on partial differential equations which he studied from a geometrical point of view.
In 1966 he became head of the partial differential equations Section of the Institute of Applied Mathematics and Mechanics of the Academy of Sciences of the Ukraine in Donetske.